Husserl: ¿Phenomenology of Mathematic? [Spanish]
Keywords:
Husserl, fenomenología, psicologismo, matemática, númeroAbstract
Husserl's phenomenology is immersed in a network of regressions and conceptual revisions that hinder the identification of a systemic structure. The characteristic concepts of phenomenology fall short of uniqueness and are not appropriate for some of Husserl's works. Philosophie der Arithmetik illustrates the aforementioned problem. Can
this work be classified under the category of phenomenological texts? Is it possible to talk about a phenomenology of mathematic in Husserl? And what would be the
point of this? The objectives of the present essay are: first, to analyze the difficulty that Philosophie der Arithmetik has responding to the concerns of the philosophy of
mathematics, and second, to propose the possibility of a phenomenology of mathematics, conditioned to conceptual clarification and critical study of the influence of the analytical tradition on the philosophy of mathematics.
References
Centrone, S. (2010). Logic and Philosophy of Mathematics in The Early Husserl. Dordrecht: Springer. Doi:10.1007/978-90-481-3246-1
Colyvan, M. (2012). An Introduction to the Philosophy of Mathematics (Cambridge Introductions to Philosophy). Cambridge: Cambridge University Press. Doi:10.1017/CBO9781139033107
Da Silva, J. J. (2017). Mathematics and Its Applications. A Transcendental-Idealist Perspective. Nueva York: Springer. Doi: 10.1007/978-3-319-63073-1
Escudero, J. (2013). La actualidad de la fenomenología husserliana: superación de viejos tópicos y apertura de nuevos campos de exploración. Eidos, 18, 12-45. Recuperado de: http://www.scielo.org.co/pdf/eidos/n18/n18a02.pdf
Ferreirós, J, y Gray, J. (2006). The Architecture of Modern Mathematics. Oxford: Oxford University Press.
Frege, G. (1977). Review of Dr. E. Husserl’s Philosophy of Arithmetic. En J. N. Mohanty (Ed.), Readings on Edmund Husserl’s Logical Investigations (pp. 6-21). Holanda: Martinus Nijhoff, The Hague.
Friend, M. (2007). Introducing Philosophy of Mathematics. London: Acumen.
Garavaso, P. & Vassallo, N. (2014). Frege on Thinking and Its Epistemic Significance. Washington, D.C.: Lexington Books.
Hartimo m. (2010). The development of mathematics and the birth of phenomenology. En M. Hartimo (ed.), Phenomenology and mathematics. Phaenomenologica (published under the auspices of the husserl-archives), vol. 195. dordrecht: springer. Doi: 10.1007/978-90-481-3729-9_6
Hintikka J. (2010). How Can a Phenomenologist Have a Philosophy of Mathematics? En M. Hartimo M. (ed.), Phenomenology and Mathematics. Phaenomenologica (Published Under the Auspices of the Husserl-Archives), vol. 195. Dordrecht: Springer. Doi:
1007/978-90-481-3729-9_5
Horsten, L. (2018). Philosophy of Mathematics. The Stanford Encyclopedia of Philosophy. Recuperado de https://plato.stanford.edu/archives/spr2018/entries/philosophy-mathematics
Husserl, E. (1984). Logische Untersuchungen. Zweiter Teil. Untersuchungen zur Phänomenologie und Theorie der Erkenntnis. La Haya: Martinus Nijhoff. [Hua XIX].
Husserl, E. (1974). Formale and transzendentale Logik. Versuch einer Kritik der logischen Vernunft. La Haya: Martinus Nijhoff. [Hua XVII].
Husserl, E. (1970). Philosophie der Arithmetik. Mit Ergänzenden Texten (1890-1901). La Haya: Martinus Nijhoff. [Hua XII].
Maddy, P. (1990). Realism in Mathematics. Oxford: Claredon Press.
Pollard, S. (2014). A Mathematical Prelude to The Philosophy of Mathematics. Nueva York: Springer International Publishing. Doi: 10.1007/978-3-319-05816-0
Rota, G. (2008). Indiscrete Thoughts. Basel: Birkhäuser. Doi: 10.1007/978-0-8176-4781-0
Shapiro, S. (2000). Thinking about Mathematics. The Philosophy of Mathematics. Oxford: Oxford University Press.
Sokolowski, R. (1970). The Formation of Husserl’s Concept of Constitution. Dordrecht: Springer.
Zalamea, F. (2009). Filosofía sintética de las matemáticas contemporáneas. Bogotá, Colombia: Universidad Nacional de Colombia.
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